A230731 Number of 3Xn 0..5 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero

0, 0, 0, 30, 260, 2790, 32094, 376934, 4362078, 50291874, 579992382, 6692484558, 77225878898, 891066286478, 10281304434902, 118628145745586, 1368763636313926, 15793166930559638, 182225790213877210

Offset

1,4

Comments

Row 3 of A230730

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 37*a(n-1) -595*a(n-2) +5660*a(n-3) -35828*a(n-4) +157230*a(n-5) -466479*a(n-6) +783315*a(n-7) +149410*a(n-8) -4913189*a(n-9) +15308313*a(n-10) -33280758*a(n-11) +76478300*a(n-12) -177313700*a(n-13) +290894459*a(n-14) -242578889*a(n-15) +49923475*a(n-16) -169658314*a(n-17) +654510878*a(n-18) -620961736*a(n-19) +30897092*a(n-20) -89124120*a(n-21) +423219600*a(n-22) -29634928*a(n-23) -150941536*a(n-24) -5361712*a(n-25) -77848528*a(n-26) -56295568*a(n-27) -34378256*a(n-28) -11430688*a(n-29) -53024*a(n-30) +299136*a(n-31) for n>34

Example

Some solutions for n=4
..0..1..2..1....0..1..2..1....0..1..2..3....0..1..2..3....0..1..2..3
..2..3..0..5....0..3..0..3....0..3..4..5....0..1..4..3....0..5..4..1
..4..5..4..3....4..5..4..3....2..1..0..5....0..5..2..1....4..3..2..1

Crossrefs

Sequence in context: A125367 A126525 A230615 * A053358 A163667 A214944

Adjacent sequences: A230728 A230729 A230730 * A230732 A230733 A230734

Keyword

nonn

Author

R. H. Hardin, Oct 28 2013

Status

approved